Find the first and second derivatives. r=\frac{1}{3s^{2}}-\frac{7}{4s^{3}} \frac{dr}{ds}=

Reggie

Reggie

Answered question

2021-05-25

Find the first and second derivatives.
r=13s274s3
drds=

Answer & Explanation

wornoutwomanC

wornoutwomanC

Skilled2021-05-26Added 81 answers

Step 1
The given functions r(s) is
r=13s274s3
r=13s274s3
Step 2
Formula used: Power rule of derivative
ddxxn=nxn1
Step 3
The 1st derivative can be evaluated as
r=13s274s3
Differentiating both side w.r.t. s, gives
drds=13(2s2174(3s31))
drds=23s3+214s4
Step 4
The 2nd derivative can be evaluated by differentiating again on both the side of above 1st derivative function as shown below:
d2rds2=23(3s31)+214(4s41)
d2rds2=2s421s5
Step 5
Answer:
The 1st derivative is 23s3+214s4
The 2nd derivative is 2s421s5
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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